All Differential Equations Resources
Example Questions
Example Question #1 : Numerical Solutions Of Ordinary Differential Equations
The two-step Adams-Bashforth method of approximation uses the approximation scheme .
Given that and
, use the Adams-Bashforth method to approximate
for
with a step size of
Possible Answers:
Correct answer:
Explanation:
In this problem, we're given two points, so we can start plugging in immediately. If we were not, we could approximate by using the explicit Euler method on
.
Plugging into , we have
.
Note, our approximation likely won't be very good with such large a time step, but the process doesn't change regardless of the accuracy.
Gregory
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All Differential Equations Resources
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